-determine to which systems a given number belongs.
-determine which of two real numbers is greater.
-use the symbols < and > appropriately.
-express sets of real numbers using interval notation.
-use the commutative, associaative, and distributive
properties to simplify expressions.
-evaluate expressons by performing arithmetic operations
in the correct order.
-compute the absolute value of a real number.
p. 34 #25-38
*omit complex numbers??
1.2
1
-plot points in the coordinate plane.
-determine the quadrant of a given point.
-find the distance between two points.
-find the midpoint between two points.
p. 21 #7, 8, 23, 31-34, 36-38
from 1.1
p. 13 #59-69
*omit simple interest and
compound interest until later??
1.8
3
-evaluate the principle nth root of perfect nth powers.
-simplify radical expressions.
-add, subtract, multiply and divide radical expressions
-convert from radical to exponential notation.
-convert from exponential to radical notation.
p. 89 #1-5, 8-15
p. 90 #39-49 odd, 54,
55-63 odd
p. 90 #69-89 odd
*omit rationalizing denominators
*omit square roots of negative
numbers.
-recognize a polynomial and determine its degree.
-evaluate polynomials by substituting for variables.
-add, subtract and multiply polynomials.
p. 56 #13, 15, 23, 27-33,
35-47 odd, 51-55 odd
*omit binomial product??
*omit operations on complex numbers.
1.6
2.5
-recognize when an algebraic expression is completely factored.
-factor out the greatest common factor.
-use special binomial forms to factor polynomials.
-factor trinomials.
-determine the intercepts of a graph.
-graph a line given its equation.
-find the equation of a circle given its radius and center.
-choose an appropriate scale when plotting points.
-select an appropriate calculator viewing window.
p. 109 #1, 2, 7, 9, 13-18,
25-30
*omit completing the square
*omit sketch graph by hand??
*omit trace feature??
2.2
2
-determine if a given number is a solution of an equation.
-recognize operations resulting in equivalent equations.
-find intercepts and other key features by zooming.
-approximate solutions to equations graphically.
-identify and solve linear equations
-define appropriate variables when setting up applied problems
-convert quantitative relationships expressed in English to
algebraic equations.
-identify and solve linear inequalities
p. 136 #5-11 odd, 13, 14, 21,
25-37 odd
p. 136 #41-48, 51, 52, 57-62
-express the distance between real numbers using absolute
value.
-solve absolute value equations.
-solve compound inequalities.
-find the union or intersection of two sets of numbers.
-express answers to compound inequalities as an interval or
as the union of intervals.
-solve absolute value inequalities, expressing the answer
using interval notation.
p. 147 #1-15 odd
p. 147 #25-47
2.5
2
-recognize polynomial expressions and equations.
-solve polynomial equations by factoring.
-solve polynomial inequalities graphically.
p. 157 #1-17 odd, 39, 41
p. 157 #53-67 odd, 68, 75, 77
*include #31-38??
2.6
2
-recognize a quadratic equation.
-solve a quadratic equation with the quadratic formula.
-determine the number of real solutions of a quadratic
equation by using the discriminant.
-recognize and solve equations of quadratic type.
-identify a rational expression.
-simplify a rational expression by factoring.
-add, subtract, multiply and divide rational expressions.
-evaluate a rational expression by substituting.
-simplify complex fractions by clearning denominators.
-solve a rational equation by clearning fractions.
-solve rational inequalities graphically.
-solve equations involving radicals.
-systematically check solutions to rational and radical
equations and inequalities.
p. 185 #3-7, 9, 13, 19, 21, 23
p. 186 #33-43 odd, 47, 49, 51, 52
-classify systems of equations a linear or nonlinear.
-solve systems of equations graphically.
-classify systems of equations as consistent or inconsistent.
-solve systems of equations by substitution.
-solve systems of equations by elimination.
-apply systems techniques in applied settings.
*the semester usually ends during this chapter.
*there is a parent function project that
can be given before finals.
3.1
2
-estimate the slope of a line given its graph.
-compute the slope of a line through two points.
-find the slope of a line given the slope of a line
parallel or perpendicular to it.
-find an equations of a line given a pont on the line and the
slope of the line.
-find an equation of a line given two points on the line.
-find the slope and y-intercept of a line given its equation.
p. 221 #17-20 all, 25-39 odd
p. 223 #47-60 all, 81-90 all
*omit writing in standard form.
*omit interpolation and extrapolation.
3.2
2
-determine if a relation is a function.
-find the domain of a function.
-given the graph of an equation, determine if the graph
defines y as a function of x.
-evaluate functions expressed with function notation.
express functional relationships using function notation.
p. 235 #1-7, 9-13 odd, 14-19,
21, 23
*omit estimating domain and range
using a calculator??
*omit sketching a graph of a function??
-recognize the basic parent functions and their graphs.
-sketch a translation of a parent function.
-sketch a reflection of a parent function.
-find an equation of a translated or reflected parent function
given its graph.
-given a function, determine the symmetries of its graph.
-determine whether a function is even, odd or neither.
-compute the sum, difference, product and quotient
of two given functions and find their respective domains.
-evaluate arithmetic combinations of functions.
-evaluate the composition of two functions.
-determine the domain of a function formed by composition.
p. 270 #1-10
p. 270 #13, 15, 18, 19, 21, 24, 29
worksheet
-verify of disprove that a given pair of functions are inverses of one another.
-use the horizontal line test to determine whether a functions is one-to-one.
-compute the inverse of a simple function.
-given the graph of a function, sketch its invers.
*optional test for chapter 3. some of the
material taught during fall semester.
CH 4
4.1
1
-identify a polynomial function and its degree.
-determine the end behavior of a polynomial function.
-determine maximum number of real zeros and turning points.
-find the zeros of a polynomial function.
p. 331 #1-4, 6, 8, 10, 13-22
*need to determine how much to use the calculator.
4.2
2
-use long division to find a quotient and remainder
when dividing one polynomial by another.
-use synthetic division to find a quotient and remainder
when dividing a polynomial by x-c.
-divide a given factor into a polynomial to find the other factors.
-use synthetic division and the remainder theorem to find a function value.
-use given zeros of a polynomial to find the remaining zeros.
-find a polynomial of a specified degree and with given zeros.
-sketch a polynomial given the equation in factored form.
-sketch a polynomial given the equation in standard form
and at least one factor.
*could quiz on only 4.1-4.2 or just one quiz
on 4.1-4.4 depending on time.
4.4
3
-use the rational roots theorem to find the rational roots of a polynomial.
-write the equation of a polynomial given a graph.
-sketch a polynomial given only the equation.
-find the domain of a rational function.
-find the x- and y-intercepts of a rational function.
-find the vertical asymptote(s) of a rational function.
-find the horizontal asymptote of a rational function.
-sketch a graph of a rational function given the equation.
-find the coordinates of any holes in a rational function.
-find the end behavior of a rational function.
-find the behavior near a vertical asymptote of a rational function.
-write the equation of a rational function given the graph.
-sketch the graph of an exponential function.
-use the 1-1 property of exponential functions to solve
exponential equations.
-use the compound interest formula to find the balance in an
account.
-use the continuously compounded interest formula to find the
banance in an account.
worksheet
p. 395 #1, 2, 15-23 odd
p. 396 #25-30
worksheet
-sketch the graph of a logarithmic function.
-sketch the graph of a translated or reflected logarithmic function.
-evaluate a logarithm by applying the definition.
-find coterminal angles for a given angle.
-find complementary and supplementary angles for a given angle.
-convert between degrees and radians.
p. 465 #1-22
p. 465 #31-36, 41-46
*omit degree-minute-seconds form??
*omit arc length??
*omit angular speed??
*omit area of a circular sector??
6.2
3
-find the trigonometric function value for an acute angle in a right triangle.
-find the trigonometric function value for an acute angle given information about other trignometric values.
-find an exact value for a trigonometric function of a special acute angle.
-use a calculator to approximate trignomoetric function values.
-solve right triangles
-solve right triangle application problems
1
-determine which of two real numbers is greater.
-use the symbols < and > appropriately.
-express sets of real numbers using interval notation.
19-24, 31-37, 39, 40,
43, 52
properties to simplify expressions.
-evaluate expressons by performing arithmetic operations
in the correct order.
-compute the absolute value of a real number.
-determine the quadrant of a given point.
-find the distance between two points.
-find the midpoint between two points.
from 1.1
p. 13 #59-69
-simplify expressions involving negative exponents.
-convert from decimal to scientific notation.
-convert from scientific notation to decimal notation.
p. 47 #31-45
worksheet
compound interest until later??
-simplify radical expressions.
-add, subtract, multiply and divide radical expressions
-convert from radical to exponential notation.
-convert from exponential to radical notation.
p. 90 #39-49 odd, 54,
55-63 odd
p. 90 #69-89 odd
*omit square roots of negative
numbers.
-evaluate polynomials by substituting for variables.
-add, subtract and multiply polynomials.
35-47 odd, 51-55 odd
*omit operations on complex numbers.
-factor out the greatest common factor.
-use special binomial forms to factor polynomials.
-factor trinomials.
worksheet
2
-graph a line given its equation.
-find the equation of a circle given its radius and center.
-choose an appropriate scale when plotting points.
-select an appropriate calculator viewing window.
25-30
*omit sketch graph by hand??
*omit trace feature??
-recognize operations resulting in equivalent equations.
-find intercepts and other key features by zooming.
-approximate solutions to equations graphically.
p. 126 #35-42
-define appropriate variables when setting up applied problems
-convert quantitative relationships expressed in English to
algebraic equations.
-identify and solve linear inequalities
25-37 odd
p. 136 #41-48, 51, 52, 57-62
value.
-solve absolute value equations.
-solve compound inequalities.
-find the union or intersection of two sets of numbers.
-express answers to compound inequalities as an interval or
as the union of intervals.
-solve absolute value inequalities, expressing the answer
using interval notation.
p. 147 #25-47
-solve polynomial equations by factoring.
-solve polynomial inequalities graphically.
p. 157 #53-67 odd, 68, 75, 77
-solve a quadratic equation with the quadratic formula.
-determine the number of real solutions of a quadratic
equation by using the discriminant.
-recognize and solve equations of quadratic type.
10-14, 29, 31(quadratic formula),
37-45 odd
worksheet
-simplify a rational expression by factoring.
-add, subtract, multiply and divide rational expressions.
-evaluate a rational expression by substituting.
-simplify complex fractions by clearning denominators.
worksheet
-solve rational inequalities graphically.
-solve equations involving radicals.
-systematically check solutions to rational and radical
equations and inequalities.
p. 186 #33-43 odd, 47, 49, 51, 52
-solve systems of equations graphically.
-classify systems of equations as consistent or inconsistent.
-solve systems of equations by substitution.
-solve systems of equations by elimination.
-apply systems techniques in applied settings.
*there is a parent function project that
can be given before finals.
-compute the slope of a line through two points.
-find the slope of a line given the slope of a line
parallel or perpendicular to it.
-find an equations of a line given a pont on the line and the
slope of the line.
-find an equation of a line given two points on the line.
-find the slope and y-intercept of a line given its equation.
p. 223 #47-60 all, 81-90 all
*omit interpolation and extrapolation.
-find the domain of a function.
-given the graph of an equation, determine if the graph
defines y as a function of x.
-evaluate functions expressed with function notation.
express functional relationships using function notation.
21, 23
using a calculator??
*omit sketching a graph of a function??
-sketch a translation of a parent function.
-sketch a reflection of a parent function.
-find an equation of a translated or reflected parent function
given its graph.
-given a function, determine the symmetries of its graph.
-determine whether a function is even, odd or neither.
*there is a project for section 3.3
of two given functions and find their respective domains.
-evaluate arithmetic combinations of functions.
-evaluate the composition of two functions.
-determine the domain of a function formed by composition.
p. 270 #13, 15, 18, 19, 21, 24, 29
worksheet
-use the horizontal line test to determine whether a functions is one-to-one.
-compute the inverse of a simple function.
-given the graph of a function, sketch its invers.
p. 280 #2-34 even
worksheet
-evaluate and graph piecewise-defined functions.
worksheet
worksheet
*omit finding vertex of parabola.
-solve a variation problem.
worksheet
*omit least-squares best fit??
*omit linear regression??
material taught during fall semester.
-determine the end behavior of a polynomial function.
-determine maximum number of real zeros and turning points.
-find the zeros of a polynomial function.
when dividing one polynomial by another.
-use synthetic division to find a quotient and remainder
when dividing a polynomial by x-c.
-divide a given factor into a polynomial to find the other factors.
-use synthetic division and the remainder theorem to find a function value.
worksheet
-find a polynomial of a specified degree and with given zeros.
-sketch a polynomial given the equation in factored form.
-sketch a polynomial given the equation in standard form
and at least one factor.
worksheet
*include sketching from standard form.
on 4.1-4.4 depending on time.
-write the equation of a polynomial given a graph.
-sketch a polynomial given only the equation.
worksheet
*omit upper and lower bounds test.
*calculator???
-find the x- and y-intercepts of a rational function.
-find the vertical asymptote(s) of a rational function.
-find the horizontal asymptote of a rational function.
-sketch a graph of a rational function given the equation.
*this section is taught using supplemental worksheets.
*omit slant asymptotes??
-find the end behavior of a rational function.
-find the behavior near a vertical asymptote of a rational function.
-write the equation of a rational function given the graph.
5
-use the 1-1 property of exponential functions to solve
exponential equations.
-use the compound interest formula to find the balance in an
account.
-use the continuously compounded interest formula to find the
banance in an account.
p. 395 #1, 2, 15-23 odd
p. 396 #25-30
worksheet
from section 5.4??
-sketch the graph of a translated or reflected logarithmic function.
-evaluate a logarithm by applying the definition.
p. 408 #9-24 odd, 31-45 odd
equations for next quiz.
from section 5.5??
-find complementary and supplementary angles for a given angle.
-convert between degrees and radians.
p. 465 #31-36, 41-46
*omit arc length??
*omit angular speed??
*omit area of a circular sector??
-find the trigonometric function value for an acute angle given information about other trignometric values.
-find an exact value for a trigonometric function of a special acute angle.
-use a calculator to approximate trignomoetric function values.
-solve right triangles
-solve right triangle application problems
p. 481 #49-58
worksheet